Nonlinear Decay of Electrostatic Pump Wave in Ferroelectric Materials with SDDS

A comprehensive systematic analysis is made of the nonlinear decay process in ferroelectric material like BaTiO3 in semiconducting plasma. The dispersion relation is obtained by using a hydrodynamic model o fin homogeneous, ferroelectric, one-component (electron or proton) semiconducting plasma. The threshold value of pump electric field and the growth rate of unstable mode well above the threshold are discussed. This analysis is applied to a specific semiconductor, BaTiO3at 77K with strain dependent dielectric constant (SDDC). The laser wave intensities used are in the range of 109 to1012 Wm-2 which is assumed to be less damage threshold. The growth rate which is being found in this study is 1012 s-1. In non-liner wave propagation by the analyses of interaction depending on a particular physical situation is of great importance. It is a fact that the study of matter wave interaction provides a tremendous insight that is very much helpful to analyses the fundamental properties and characteristics of the medium. In this paper we concentrate on nonlinear interactions in ferroelectric semiconducting crystal. It is perceived that a significantly high growth rate is obtained in ferroelectric materials with strain dependent dielectric constant (SDDC). The ferroelectric crystal with SDDC thus feasibly offers an area of assurances to pursuit's nonlinear interactions and one expects the experimental studies on nonlinear interactions to open a potential tool for energy conversion and solid state diagnostics in crystal with strain dependent dielectric constants.